Adam's age is a multiple of 3 this year.
His age next year will be multiple of 4.
Adam's age is between 50 and 60.
- In how many years' time will Adam's age be a multiple of 6?
- How many years ago was Adam's age a multiple of 7?
(a)
Multiples of 3 (between 50 and 60): 51, 54, 57, 60
Multiples of 3 (+1): 43, 46, 49, 52, 55, 58, 61
Multiples of 4: 52, 56, 60
Adam's age next year: 52Adam's age this year: 51Multiples of 6: 42, 48, 54, 60
Adam's age when it becomes a multiple of 6 = 54
Number of years' time when Adam's age will be a multiple of 6
= 54 - 51
= 3
(b)
Multiple of 7: 42, 49
Least number of years ago when Adam's age was a multiple of 7
= 51 - 49
= 2
Answer(s): (a) 3; (b) 2